Topics in Mathematics of Finance -- Ari Stern, February 19, 2002

This talk will cover some of the basic, fundamental concepts and techniques used in mathematical finance. The speaker will give an introduction to the basic theoretical toolkit (including the concepts of arbitrage, risk-neutral probability, and Monte Carlo simulation), and show how to use this framework to price some simple derivative securities (forwards and options) using discrete time models. Time permitting, additional topics will be covered, such as continuous price models, Brownian motion, the Black-Scholes model for pricing options, implied volatility and volatility smiles, the problems with the normal distribution, and the great "efficient market theory" debate.